I need to solve the following system of equations. solve([

a*c*e=a2*c2*e2, b*d*f=t*b2*d2*f2, t*a1*c1*e1=a3*c3*e3, b1*d1*f1=b3*d3*f3,

a*b*a1*b1=a2*b2*a3*b3, c*d*c1*d1=c2*d2*c3*d3, e*f*e1*f1=e2*f2*e3*f3,

b+c=b2+c2, d+e=d2+e2, b1+c1=b3+c3, d1+e1=d3+e3,

a1*b1*(b + c) + c*d*(b1 + c1) = a3*b3*(b + c) + c2*d2*(b1 + c1),

c1*d1*(d + e) + e*f*(d1 + e1) = c3*d3*(d + e) + e2*f2*(d1 + e1)

], [a2,b2,c2,d2,e2,f2,a3,b3,c3,d3,e3,f3], IgnoreSpecialCases,VectorFormat);

I tried to use some software to solve it. I can only solve it in the cases that most of a,b,c,d,e,f,a1,b1,c1,d1,e1,f1 are given by some numbers. Are there some good software which can solve this system of equations symbolically? Thank you very much.